FESI Publishing
Strength and Fracture Criteria

Strength and Fracture Criteria

Antanas Žiliukas
2010

ISBN 978-0-9552994-5-2 | 170 PAGES | £45 (FESI MEMBERS 10% OFF)

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This publication presents an analysis of strength and fracture criteria. The author offers a new, more precise, evaluative theoretical decision procedure in regard to mechanical behaviour of materials and structures, which is proven through experiments. It shows the necessity to evaluate the mechanical behaviour of materials and structures in cases of a complicated state of stress and different anisotropicity. This new criteria of strength and fracture evaluation should be applied during the creation of new materials, structures and technologies. It is intended to the scientists of mechanics and construction engineering, together with graduate students and engineering staff.

  1. Strength Criteria
    Strength conditions. Limit surfaces
    Strength theories, where limit surfaces are described as polyhedral
    Strength theories, where limit surfaces have a form of a spin
    Strength theories for anisotropic bodies
  2. Classification and Comparison of Strength Criteria
    1. Parameters of strength criteria
    2. Materials insensitive to hydrostatic pressure
      Tresca’s yield criterion
      Mizes’s yield criterion
    3. Materials sensitive to hydrostatic pressure
      Rankin’s criterion
      Mohr’s and Coulomb’s criterion
      Drucker’s and Prager’s criterion
    4. Comparison of criteria
      Tresca’s and Mizes’s criteria
      Mohr’s and Coulomb’s, Rankin’s, Drucker’s and Prager’s criteria
      Calculation of limit surfaces by applying various criteria of limit state
      Calculation of plastic zone crack on the tip referring to different criteria of limit states
  3. Universal Strength Criterion
  4. Strength Criterion Offered by the Author
    Theoretical solution
    Validity of the proposed criterion
  5. Criteria of Brittle Fracture
    A. Griffith’s theory of fracture
    J. Irwin’s theory of fracture
    Criteria of brittle fracture of materials during dynamic loads
  6. Criteria of Brittle Fracture of Materials During Dynamic Loads
    Opening of crack
    Energetic integral
  7. Criteria of Local Fracture
    Average criterion of fracture
    Structural criterion of local fracture
    Fracture of composites
    Fracture and stability of thin structures
  8. Brittle and Plastic Fracture
    Critical analysis of criteria for contemporary fracture mechanics
    Fracture evaluation schema
    Calculation of fracture loads of limit viscosity
  9. Abruptive Fracture
    Tension and compression fracture
    Characteristics of resistance to fracture
    Restriction of strain on the tip of crack
    Problems of persistence for structural elements with cracks
  10. Dynamic Resistance to Growth of Crack
    Criteria of fracture References
    Methods ascertaining fracture characteristics
  11. Two-Parameter Fracture Criteria
    Introduction
    The limit of resistance to growth of crack
    Strain criteria of fracture
    Two-parameter criterion offered by the author
    Validity of the proposed fracture criterion
  12. Growth of Crack during Varying Load
    Growth of fatigue cracks
    Growth of crack during complex load
    Probabilistic evaluation of crack growth determination